872256 has 112 divisors (see below), whose sum is σ = 2926080. Its totient is φ = 222720.

The previous prime is 872251. The next prime is 872257. The reversal of 872256 is 652278.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872251) by changing a digit.

872256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14755 + ... + 14813.

2⁸⁷²²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040).

872256 is an abundant number, since it is smaller than the sum of its proper divisors (2053824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872256 is a wasteful number, since it uses less digits than its factorization.

872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 872256 is about 933.9464652752. The cubic root of 872256 is about 95.5464719046.

It can be divided in two parts, 8722 and 56, that added together give a palindrome (8778).

The spelling of 872256 in words is "eight hundred seventy-two thousand, two hundred fifty-six".